The extracted temperature-dependent total Gaussian relaxation rate, \(\sigma \)  consists of a contribution from both the flux-line lattice (\(\sigma _{sc}\) ) and nuclear moment (\(\sigma _n\) ). A temperature-invariant relaxation rate from the nuclear moment, \(\sigma _n\) , is obtained from the asymmetry spectra measured above \(T_c\) . Thus, the superconducting contribution of the relaxation rate is evaluated via \(\sigma _{\mathrm {sc}} = \sqrt{\sigma ^{2} - \sigma _{n}^{2}}\) . For a vortex lattice system having \(\kappa \ge \)  5, and in an applied field much smaller than the upper critical field (\(H_{\text{app}} \ll H_c\) ), the relation of \(\sigma _{sc}\)  and penetration depth, \(\lambda \)  reads as [1]},
\(\frac{\sigma _{sc} (T)}{\gamma _{\mu }} = 0.0609 \frac{\Phi _0}{\lambda ^2(T)}\) 
